Chapman and Hall/CRC
Type-2 fuzzy sets extend both ordinary and interval-valued fuzzy sets to allow distributions, rather than single values, as degrees of membership. Computations with these truth values are governed by the truth value algebra of type-2 fuzzy sets. The Truth Value Algebra of Type-2 Fuzzy Sets: Order Convolutions of Functions on the Unit Interval explo
The Algebra of Truth Values. Properties of the Type-2 Truth Value Algebra. Subalgebras of the Type-2 Truth Value Algebra. Automorphisms. T-Norms and T-Conorms. Convex Normal Functions. Varieties Related to M. Type-2 Fuzzy Sets and Bichains. Categories of Fuzzy Relations. The Finite Case. Appendix. Bibliography. Index.